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Motivated by recent work on stochastic gradient descent methods, we develop two stochastic variants of greedy algorithms for possibly non-convex optimization problems with sparsity constraints. We prove linear convergence in expectation to…

Numerical Analysis · Mathematics 2014-07-02 Nam Nguyen , Deanna Needell , Tina Woolf

In this paper, we propose a new framework for designing fast parallel algorithms for fundamental statistical subset selection tasks that include feature selection and experimental design. Such tasks are known to be weakly submodular and are…

Machine Learning · Computer Science 2021-04-02 Sharon Qian , Yaron Singer

Ridge regression is an indispensable tool in big data analysis. Yet its inherent bias poses a significant and longstanding challenge, compromising both statistical efficiency and scalability across various applications. To tackle this…

Econometrics · Economics 2024-07-25 Zhaoxing Gao , Ruey S. Tsay

Features in predictive models are not exchangeable, yet common supervised models treat them as such. Here we study ridge regression when the analyst can partition the features into $K$ groups based on external side-information. For example,…

Methodology · Statistics 2021-03-05 Nikolaos Ignatiadis , Panagiotis Lolas

In this paper we analyze a budgeted learning setting, in which the learner can only choose and observe a small subset of the attributes of each training example. We develop efficient algorithms for ridge and lasso linear regression, which…

Machine Learning · Computer Science 2014-10-24 Doron Kukliansky , Ohad Shamir

Kernel-based schemes are state-of-the-art techniques for learning by data. In this work we extend some ideas about kernel-based greedy algorithms to exponential-polynomial splines, whose main drawback consists in possible overfitting and…

Numerical Analysis · Mathematics 2022-10-31 Rosanna Campagna , Stefano De Marchi , Emma Perracchione , Gabriele Santin

Randomized methods of neural network learning suffer from a problem with the generation of random parameters as they are difficult to set optimally to obtain a good projection space. The standard method draws the parameters from a fixed…

Machine Learning · Computer Science 2019-08-13 Grzegorz Dudek

We introduce a new shrinkage variable selection operator for linear models which we term the \emph{adaptive ridge selector} (ARiS). This approach is inspired by the \emph{relevance vector machine} (RVM), which uses a Bayesian hierarchical…

Methodology · Statistics 2008-05-28 Artin Armagan , Russell Zaretzki

Data-driven predictive control methods based on the Willems' fundamental lemma have shown great success in recent years. These approaches use receding horizon predictive control with nonparametric data-driven predictors instead of…

Systems and Control · Electrical Eng. & Systems 2023-12-06 Mingzhou Yin , Andrea Iannelli , Roy S. Smith

Considering the set cover problem, by modifying the approach that gives a logarithmic approximation guarantee for the greedy algorithm, we obtain an estimation of the greedy algorithm's accuracy for a particular input. We compare the…

Data Structures and Algorithms · Computer Science 2019-02-13 Alexander Prolubnikov

Decision support systems based on prediction sets have proven to be effective at helping human experts solve classification tasks. Rather than providing single-label predictions, these systems provide sets of label predictions constructed…

Machine Learning · Computer Science 2024-11-13 Giovanni De Toni , Nastaran Okati , Suhas Thejaswi , Eleni Straitouri , Manuel Gomez-Rodriguez

As reinforcement learning algorithms are being applied to increasingly complicated and realistic tasks, it is becoming increasingly difficult to solve such problems within a practical time frame. Hence, we focus on a \textit{satisficing}…

Artificial Intelligence · Computer Science 2025-04-16 Akihiro Tamatsukuri , Tatsuji Takahashi

This paper presents a dataset, called Reeds, for research on robot perception algorithms. The dataset aims to provide demanding benchmark opportunities for algorithms, rather than providing an environment for testing application-specific…

Computer Vision and Pattern Recognition · Computer Science 2021-09-20 Ola Benderius , Christian Berger , Krister Blanch

Bayesian optimization has emerged as a powerful strategy to accelerate scientific discovery by means of autonomous experimentation. However, expensive measurements are required to accurately estimate materials properties, and can quickly…

Machine Learning · Statistics 2021-03-08 Riley J. Hickman , Florian Häse , Loïc M. Roch , Alán Aspuru-Guzik

A sensor has the ability to probe its surroundings. However, uncertainties in its exact location can significantly compromise its sensing performance. The radius of robust feasibility defines the maximum range within which robust…

Optimization and Control · Mathematics 2026-05-12 Vanshika Datta , C. Nahak

We consider the spatial classification problem for monitoring using data collected by a coordinated team of mobile robots. Such classification problems arise in several applications including search-and-rescue and precision agriculture.…

Robotics · Computer Science 2026-05-25 Xiaoshan Lin , Siddharth Nayak , Stefano Di Cairano , Abraham P. Vinod

Model averaging is an important alternative to model selection with attractive prediction accuracy. However, its application to high-dimensional data remains under-explored. We propose a high-dimensional model averaging method via…

Statistics Theory · Mathematics 2025-06-11 Zhengyan Wan , Fang Fang , Binyan Jiang

Several learning applications require solving high-dimensional regression problems where the relevant features belong to a small number of (overlapping) groups. For very large datasets and under standard sparsity constraints, hard…

Machine Learning · Statistics 2016-05-30 Prateek Jain , Nikhil Rao , Inderjit Dhillon

This paper considers a set of sensors, which as a group are tasked with taking measurements of the environment and sending a small subset of the measurements to a centralized data fusion center, where the measurements will be used to…

Multiagent Systems · Computer Science 2022-07-11 David Grimsman , Matthew R. Kirchner , João P. Hespanha , Jason R. Marden

Sparsity learning with known grouping structure has received considerable attention due to wide modern applications in high-dimensional data analysis. Although advantages of using group information have been well-studied by shrinkage-based…

Machine Learning · Statistics 2018-09-28 Wei Qian , Wending Li , Yasuhiro Sogawa , Ryohei Fujimaki , Xitong Yang , Ji Liu